Answer:
33/130
Step-by-step explanation:
3/4 - 1/5 = 11/20
5/2 - 1/3 = 2 and 1/6
11/20 divided by 13/6 = 33/130
To find the point of intersection, we want to set the two equations equal to each other to find where they meet. The problem is, we have two variables, which means we can't just set them equal to each other as is. We need to manipulate the equations so that we can remove one of the variables at a time to solve for the other one.
First, let's move y to one side so we can solve for x.
2x-3y=9
2x-9=3y
y=(2x-9)/3
5x+4y=11
4y=11-5x
y=(11-5x)/4
Now that they both equal the same thing (y), we can set them equal to each other and solve for x. This will give us the x value for the point of intersection of the lines.
(11-5x)/4=(2x-9)/3
3(11-5x)=4(2x-9)
33-15x=8x-36
33+36=8x+15x
69=23x
x=69/23
x=3
Now, we can do the opposite, and solve for x to find the y coordinate.
2x-3y=9
2x=3y+9
x=(3y+9)/2
5x+4y=11
5x=11-4y
x=(11-4y)/5
(3y+9)/2=(11-4y)/5
5(3y+9)=2(11-4y)
15y+45=22-8y
15y+8y=22-45
23y= -23
y= -1
The coordinates for the point of intersection of the two lines is (3, -1).
Answer:
x≥-3
Step-by-step explanation:
-4x-10≤2
-4x≤2+10
-4x≤12
x≥12÷-4 (The sign flips around when you divide by a negative number.)
x≥-3
1/2 because there are 3 odd numbers on a number cube and 6 numbers in total and 3/6 simplified is 1/2
Answer:
A
Step-by-step explanation:
.